The reason you cannot see a person standing on the other side of a boundary wall but can hear them is based on the difference in the wavelengths of light and sound.
Light waves have very small wavelengths, in the order of nanometers (approximately \(10^{-9}\) m). These small wavelengths cannot bend around large obstacles like walls, which are much larger than the wavelength of light. As a result, light waves cast sharp shadows, and you cannot see the person standing behind the wall.
Sound waves, on the other hand, have much longer wavelengths, typically in the order of centimeters to meters. These longer wavelengths can diffract around the edges of a boundary, such as a wall, and thus can be heard even though the person is not visible.
This phenomenon is an example of diffraction, where waves spread out and bend around obstacles.
Simar, Tanvi, and Umara were partners in a firm sharing profits and losses in the ratio of 5 : 6 : 9. On 31st March, 2024, their Balance Sheet was as follows:
Liabilities | Amount (₹) | Assets | Amount (₹) |
Capitals: | Fixed Assets | 25,00,000 | |
Simar | 13,00,000 | Stock | 10,00,000 |
Tanvi | 12,00,000 | Debtors | 8,00,000 |
Umara | 14,00,000 | Cash | 7,00,000 |
General Reserve | 7,00,000 | Profit and Loss A/c | 2,00,000 |
Trade Payables | 6,00,000 | ||
Total | 52,00,000 | Total | 52,00,000 |
Umara died on 30th June, 2024. The partnership deed provided for the following on the death of a partner:
If \(\begin{vmatrix} 2x & 3 \\ x & -8 \\ \end{vmatrix} = 0\), then the value of \(x\) is: